ARITHMETIC PROPERTIES OF THE INTEGER PART OF THE POWERS OF AN ALGEBRAIC NUMBER

被引：2

作者：

Luca, Florian ^{[1
]}

Mignotte, Maurice ^{[2
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Matemat, Morelia 58089, Michoacan, Mexico

[2] Univ Strasbourg, UFR Math, F-67084 Strasbourg, France

来源：

GLASNIK MATEMATICKI | 2009年 / 44卷 / 02期

关键词：

Powers of algebraic numbers; digital representations; applications of linear forms in logarithms and the subspace theorem; LINEAR RECURRENCES; SUBSPACE THEOREM; EQUATIONS;

D O I：

10.3336/gm.44.2.03

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a real number x, we let left perpendicular x inverted left perpendicular be the closest integer to x. In this paper, we look at the arithmetic properties of the integers left perpendicular theta(n) inverted left perpendicular when n >= 0, where theta > 1 is a fixed algebraic number.

引用

页码：285 / 307

页数：23

共 16 条

[1]

[Anonymous], 2003, Mathematical Surveys and Monographs

[2] Some new applications of the Subspace Theorem [J].

Corvaja, P ;

Zannier, U .

COMPOSITIO MATHEMATICA, 2002, 131 (03) :319-340

[3]

EVERTSE JH, 1984, COMPOS MATH, V53, P225

[4]

Evertse JH, 1996, COMPOS MATH, V101, P225

[5]

Fuchs C, 2004, PUBL MATH-DEBRECEN, V65, P149

[6]

Fuchs C., 2003, GLAS MAT, V38, P233

[7] POLYNOMIAL-EXPONENTIAL EQUATIONS INVOLVING MULTI-RECURRENCES [J].

Fuchs, Clemens .

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2009, 46 (03) :377-398

[8]

Luca F., 2000, QUAEST MATH, V23, P389, DOI [10.2989/16073600009485986, DOI 10.2989/16073600009485986]

[9]

Luca F, 2006, REV MAT IBEROAM, V22, P369

[10] An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II [J].

Matveev, EM .

IZVESTIYA MATHEMATICS, 2000, 64 (06) :1217-1269

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